U(N) Coherent States for Loop Quantum Gravity

Etera R. Livine; Laurent Freidel

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U(N) Coherent States for Loop Quantum Gravity

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arxiv 1005.2090 v1 pith:QR2ZV6GR submitted 2010-05-12 gr-qc math-phmath.MP

Laurent Freidel , Etera R. Livine This is my paper

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keywords coherentstatesintertwinersspaceactingcovariantdirectelements

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We investigate the geometry of the space of N-valent SU(2)-intertwiners. We propose a new set of holomorphic operators acting on this space and a new set of coherent states which are covariant under U(N) transformations. These states are labeled by elements of the Grassmannian Gr(N,2), they possess a direct geometrical interpretation in terms of framed polyhedra and are shown to be related to the well-known coherent intertwiners.

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